Physics - W.E.P. Question with Solution | TestHub
A block of mass 2 kg is pushed against a light spring of force constant k=200 N/m fixed at the bottom of a smooth inclined plane making an angle of 37o with the horizontal. The spring is compressed by 0.5 m and the block is then released from rest.
The block moves up the incline, leaves the spring, and finally comes to rest momentarily at a certain height on the incline.
Find the maximum distance (in meters) the block moves up the incline from the point of maximum compression.
Take g=10 m/s2; g=10m/s2 and sin37∘=0.6
Answer:
Solution:
Using conservation of mechanical energy from maximum compression to the highest point: 1/2 kx² = mg sin(37°) d. Therefore 1/2 × 200 × (0.5)² = 2 × 10 × 0.6 × d, so 25 = 12d and d = 25/12 = 2.08 m. The required integer answer is 2.
